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AP® PreCalculus - Unit 3: Trigonometric and Polar Functions
Unit 3: Trigonometric & Polar Functions Topic 3.1: Periodic Phenomena & Intro to Trig3.1 Angle measurement (degrees vs radians) 3.2 Arc length 3.3 Unit circle structure 3.4 Definition of sine & cosine 3.5 Sine & cosine values on the unit circle 3.6 Symmetry & periodicity 3.7 Tangent and reciprocal trig functions Topic 3.2: Trigonometric Functions3.8 Graphing sine & cosine 3.9 Amplitude & midline 3.10 Period & frequency 3.11 Phase shift 3.12 Putting together all transformations 3.13 Graphing tang
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
AP® PreCalculus - Unit 1: Polynomial and Rational Functions
Topics Included: Unit 1: Polynomial & Rational FunctionsTopic 1.1: Patterns & operations with sequences1.1 Linear and quadratic patterns 1.2 Recursive vs explicit forms 1.3 Arithmetic sequences 1.4 Geometric sequences 1.5 Using functions to model patterns Topic 1.2: Polynomial Functions & Operations1.6 End behavior of polynomials 1.7 Identifying polynomial functions 1.8 Adding, subtracting, and multiplying polynomials 1.9 Factoring polynomials 1.10 Zeros of polynomial functions 1.11 Multiplicity
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
AP® PreCalculus - Unit 2: Exponential & Logarithmic Functions
Unit 2: Exponential & Logarithmic FunctionsTopic 2.1: Exponential Functions2.1 Structure of exponential functions 2.2 Exponential growth & decay 2.3 Growth factor & decay factor 2.4 Continuous growth (Euler’s number) 2.5 Applications of exponential modeling 2.6 Transformations of exponential functions 2.7 Exponential equations Topic 2.2: Logarithmic Functions2.8 Introduction to logarithms 2.9 Properties of logs (product, quotient, power) 2.10 Change of base formula 2.11 Logarithmic models 2.12 L
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
AP® PreCalculus - Unit 4: Functions and Modelling
Unit 4: Functions & ModelingTopic 1: Function Characteristics4.1 Function notation & structure 4.2 Average rate of change 4.3 Domain & range 4.4 Composition of functions 4.5 Inverse functions 4.6 Even & odd functions Topic 2: Transformations of Functions4.7 Vertical & horizontal shifts 4.8 Reflections 4.9 Stretching & compressing 4.10 Combined transformations 4.11 Piecewise functions Topic 3: Function Families & Modeling4.12 Linear vs nonlinear models 4.13 Polynomial models 4.14 Rational models
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
Algebra 2 Rationals Functions Unit Concept Assessment | Performance Assessment
Bring creativity into your Algebra classroom with this engaging Rational Functions Unit Concept Assessment! Students will work together to solve a problem in the context of opening a Lemonade Stand. This math assessment is perfect for Algebra 2 or Pre-Calculus students. The project is designed with two components: Partner/Collaboration: Students will collaborate to understand the problem, create equations and a graph, and start to interpret the context.Individual Assessment: Students will work i
9th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSA-SSE.A.1a
, HSA-SSE.B.3
, HSA-APR.D.6
+8
how to graph log functions on ti-84 plus- Comparing TI-84 Calculator and Desmos
TI-84 vs Desmos | Graphing Logarithmic Functions, Domain & Asymptotes (Algebra 2)This resource helps students compare graphing logarithmic functions using a TI-84 calculator and Desmos, building both conceptual understanding and exam-ready skills. Using f(x)=log(2x+6) students clearly see how domain restrictions and vertical asymptotes appear differently on each tool. Students will: Graph logarithmic functions on a TI-84 Graph the same function using Desmos Compare how each tool shows d
11th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.C.7
, HSF-IF.C.7e
Also included in: how to graph logarithmic functions on desmos
Function Machine Task Card Activity | Printable
Make function composition fun and interactive with this hands-on math activity! In this Function Composition Task Card Challenge, students receive 4 function cards and must arrange them in the correct order so that: 1. The input value goes into the first function. 2. The output of that function becomes the input for the second function. 3. They continue the process until they reach the final output. The goal? Figure out the correct sequence of functions so the starting input matches the given
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.C.9
Also included in: Algebra 2 Functions Unit Bundle | Activities, Assessments, Guided Notes
Calculus Part 1 Notes (From Attributes of Functions to Finding Limits)
This includes five note sheets (formatted so they work as part of an interactive notebook), one graphic organizer, and the slides that have all of the videos for all of these - and the rest of the year of calculus.
9th - 12th, Higher Education
Calculus, PreCalculus
1.2 - Function Notation f(x) (MCR3U Grade 11 Functions / Pre-Calculus)
Ontario Curriculum Expectations:A1.2 - represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions.
11th
Algebra, Calculus, PreCalculus
Graphing Sine Functions Cornell Notes
Support your Algebra 2 or Precalculus students in mastering trigonometric graphing with these Graphing Sine Functions Cornell Notes—designed for a structured, effective way to deliver content. Whether you're teaching in an AVID school or simply want to improve note-taking across your classroom, this resource offers a student-friendly format that promotes focus, clarity, and retention. What’s Included:Guided Cornell Notes with clear promptsFully filled version for accommodations or referenceDet
9th - 12th
Algebra 2, PreCalculus
CCSS
HSF-TF.B.5
RATIONAL FUNCTIONS - Algebra 2 or Pre Calculus
RATIONAL FUNCTIONS - Use with your Algebra 2 or Pre Calculus level students. There is nine (9) graphing and equations. Students use where the asymptotes are, and other key attributes of Rational Functions to match the correct graph and equation.
9th - 12th
Algebra 2, PreCalculus
Is the function an EXPONENTIAL GROWTH or EXPONENTIAL DECAY function?
Is the function an EXPONENTIAL GROWTH or EXPONENTIAL DECAY function?This is designed to be a good warm-up for your Algebra 2 students. There are eleven (11) functions. Three are Exponential Growth, three are Decay, and five are neither Exponential Growth, nor Exponential Decay. Students have to THINK of the attributes of a function that make it Growth or Decay. This can be done as a "CONCEPT FORMATION" piece, too.
9th - 12th
Algebra, Algebra 2, PreCalculus
AP® PreCalculus - Full Course Curriculum
Unit 1: Polynomial & Rational Functions1.1 Linear and quadratic patterns 1.2 Recursive vs explicit forms 1.3 Arithmetic sequences 1.4 Geometric sequences 1.5 Using functions to model patterns 1.6 End behavior of polynomials 1.7 Identifying polynomial functions 1.8 Adding, subtracting, and multiplying polynomials 1.9 Factoring polynomials 1.10 Zeros of polynomial functions 1.11 Multiplicity of roots 1.12 The Remainder Theorem 1.13 The Factor Theorem 1.14 Rational expressions and simplification 1.
12th, Higher Education
PreCalculus
IB Applications & Interpretations SL: Unit 11-Modeling Periodic Phenomena - Trig
IB Applications & Interpretations SL, Unit 11 - Modelling Periodic Phenomena - Trigonometric Functions. This bundle includes 3 guided notes lessons + homework, teacher guides for each day, 1 assessment and assessment review (lessons 11.1-11.3). Topics include: 1) An Introduction to Periodic Functions 2) An Infinity of Sinusoidal Functions 3) A World of Sinusoidal Models
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
IB Applications & Interpretations SL: Unit 5 - Modeling Constant Rates of Change
IB Applications & Interpretations SL, Unit 5 - Modeling Constant Rates of Change - Linear Functions. This bundle includes 7 guided notes lessons, teacher guides for each day, 2 assessments and assessment reviews (lessons 5.1-5.3, and 5.4-5.6), a performance task (can be used as a final exam if appropriate time of year), and an assignment sheet pacing guide, including recommended hw extra practice. Topics include: 1) Relations and Functions 2) Linear Models and Direct Variation 3) Inverse Relat
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
Derivative Basics (Power Rule/Basic Trig) Notes
These notes cover simple and complex power rule and the six basic trig function problems. There is also a look at the continuity and differentiability of piece-wise functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My
9th - 12th, Higher Education
Calculus, PreCalculus
IB Applications & Interpretations SL: Unit 10-Modeling Rates of Change-Exp & Log
IB Applications & Interpretations SL, Unit 10 - Modeling Rates of Change - Exponential and Logarithmic Functions. This bundle includes 5 guided notes lessons, teacher guides for each day, 2 assessments and assessment reviews (lessons 10.1-10.3, and 10.1-10.5), 2 end-of-unit performance tasks, and an assignment sheet pacing guide, including recommended hw extra practice. Topics include: 1) Exponential Models 2) Simple Interest and APR Investments 3) Compound Interest 4) Annuities and Amortizati
10th - 12th
Applied Math, PreCalculus
CCSS
MP1
, MP2
, MP3
+5
I'M AN AUTHOR, TOO! (use as a warm-up)
In, "I'm an author, too!", students will analyze the graph of an EXPONENTIAL DECAY function. This can be used as a warm-up for Algebra 1, 2 or even Pre-Calculus class. Looking at a graph and being able to analyze it, is a huge real-life pursuit, that we need to be teaching all of our students to do.
9th - 12th
Algebra, Algebra 2, PreCalculus
Basic Antiderivative/Indefinite Integral (Power Rule and Basic Trig) Assignment
This assignment covers basic antiderivatives/indefinite integrals using the power rule and the six basic trig functions. It also includes a review of motion graphically. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus, PreCalculus
Trigonometric Identity Formulas
Compact list of Trigonometric Identity formulas, including Reciprocal and Quotient Identities, Pythagorean Identities, Sum and Difference Identities, Co-Function Identities, Odd Even Identities, Double Angle Identities, and Half Angle Identities.
9th - 12th, Adult Education, Higher Education
Calculus, PreCalculus
Basic Antiderivatives/Indefinite Integrals (Power Rule and Basic Trig) Notes
These notes cover introducing and finding antiderivatives of expressions using the power rule - as well as the six basic trig functions. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture
9th - 12th, Higher Education
Calculus, PreCalculus
Continuity Worksheet for AP Calculus AB BC Limits Unit
Introducing the concept of Continuity for AP Calculus during the Limits Unit. The worksheet builds up the concepts of how and where a function could be discontinuous. Does the function value exist? Does the limit exist? Are those values the same?
9th - 12th
Calculus, Graphing, PreCalculus
AP Precalculus Unit 1 MEGA BUNDLE - Exams, Quizzes, & 60-Question Practice Bank
Save time and stay fully aligned — this ready-to-use Unit 1 assessment bundle covers every testable concept in AP Precalculus Polynomial & Rational Functions (Topics 1.1–1.14). ━━━━━━━━━━━━━━━━━━━━━━━━ WHAT'S INCLUDED (100+ Questions) ━━━━━━━━━━━━━━━━━━━━━━━━ Exam Version A — 15 MCQs + 1 FRQ Focus: polynomial modeling & applied contexts Exam Version B — 15 MCQs + 1 FRQ Focus: rational functions & analytic manipulation Quiz 1 — 5 MCQs (Topics 1.1–1.6, Polynomial) Quiz 2 — 5 MCQs (Topics 1.7–1.14,
9th - 12th
Calculus, Math Test Prep, PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7a
, HSF-IF.C.7c
+3
Precalculus Prioritized Standards | AI-Ready | Curriculum Guide (Google Doc)
Precalculus prioritized standards aligned to Common Core (+). Designed from a calculus teacher’s perspective to prepare students for AP Calculus AB/BC and advanced STEM coursework. Focus on algebraic fluency, function analysis, trigonometric reasoning, and modeling.Are you trying to refine your Precalculus course so it actually prepares students for calculus—not just covers content? This resource helps you: prioritize what matters most adjust instruction for deeper reasoning align your cour
9th - 12th, Adult Education, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
HSN-CN.A.3
, HSN-VM.A.1
, HSN-VM.A.3
+16
Also included in: Precalculus Prioritized Standards Bundle | PDF + Editable Google Doc
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